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Puzzle 1:

World explorer Stan the Man is on a dangerous adventure in the jungle. Suddenly an extremely poisonous snake bites him. Luckily, he has his medicines with him against this deadly snake poison: two bottles, labeled A and B, containing three pills each. Exactly three times, with an interval of 2 hours, he needs to swallow simultaneously both a pill A and a pill B. In a rush, he takes a pill from bottle A and then shakes a pill from bottle B with it... However, unfortunately two pills B fall from the bottle and they look completely identical to pill A. He cannot tell which of the three pills is A and which two are B. Stan is desperate: if he does not take the pills exactly as prescribed, it will be fatal.

Question: How can Stan survive?

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Puzzle 2:

There are three Federation Officers assigned to take three hostile aliens to "Peace Talks" on another planet. However, they must follow the following rules:

  • They have only one small space ship.
  • Only two individuals can ride in the space ship each time.
  • All Federation Officers can pilot the space ship, but only one alien can pilot the ship.
  • If at any time there are both Federation Officers and aliens on a planet, then there must always be more (or the same number of) Federation Officers than aliens on that planet. This is because if there are more aliens than Federation Officers, then the aliens will kill the Federation Officers. Count any individual in the space ship when it is on one planet as being on that planet.
  • The one space ship is the only means of transportation. There is no other way to get to the "Peace Talks". No one can exit the space ship while it is in flight.
  • To start off, all the Federation Officers and aliens are on the same planet.

Question: Can all Federation Officers and aliens get to the other planet alive, and if so: how?

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Puzzle 3:

100 loaves of bread must be divided among five workers.

Each worker in line must get more than the previous: the same amount more in each case (an arithmetical progression).

And the first two workers shall get seven times less than the three others.

How many loaves (including fractions of a loaf!) does each worker get?

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